Unit 1 TEST: Sets and Logic Answers

Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."Which statements are true regarding his work? Select three options.

Let p: The kitchen is clean.Let q: The bedroom is clean.Which statement is true if the kitchen is clean but the bedroom is not clean?

If the statement is rewritten as a conditional statement in if-then form, which best describes the conclusion?A student who earns 85% earns a B.

Which biconditional statement is true?

Consider U = {x|x is a positive integer greater than 1}.Which is an empty set?

Consider the sets below.A {x|x is a polygon}B {x|x is a triangle}Which is true?

The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles.

The statement p → q represents "If a number is doubled, the result is even.”Which represents the inverse?

Given a conditional statement p → q, which statement is logically equivalent?

Which is a counterexample for the conditional statement shown?If three distinct points lie in a plane, then the points can form a triangle.